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¿Cómo vas a descomponer esta th(26,3*0,01*∛(0,039/0,018))/(26,3*0,01*∛(0,039/0,018)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
    /           ____________\
    | 263      /     39     |
tanh|------*3 /  ---------- |
    \10*100 \/   1000*9/500 /
-----------------------------
              ____________   
    263      /     39        
   ------*3 /  ----------    
   10*100 \/   1000*9/500    
tanh(2631010039950010003)2631010039950010003\frac{\tanh{\left(\frac{263}{10 \cdot 100} \sqrt[3]{\frac{39}{\frac{9}{500} \cdot 1000}} \right)}}{\frac{263}{10 \cdot 100} \sqrt[3]{\frac{39}{\frac{9}{500} \cdot 1000}}}
tanh((263/(10*100))*(39/(1000*(9/500)))^(1/3))/(((263/(10*100))*(39/(1000*(9/500)))^(1/3)))
Descomposición de una fracción [src]
1000*1014^(1/3)*tanh(263*2^(2/3)*117^(1/3)/6000)/3419
100010143tanh(26311732236000)3419\frac{1000 \sqrt[3]{1014} \tanh{\left(\frac{263 \sqrt[3]{117} \cdot 2^{\frac{2}{3}}}{6000} \right)}}{3419}
                  /     2/3 3 _____\
     3 ______     |263*2   *\/ 117 |
1000*\/ 1014 *tanh|----------------|
                  \      6000      /
------------------------------------
                3419                
Simplificación general [src]
                  /     2/3 3 _____\
     3 ______     |263*2   *\/ 117 |
1000*\/ 1014 *tanh|----------------|
                  \      6000      /
------------------------------------
                3419                
100010143tanh(26311732236000)3419\frac{1000 \sqrt[3]{1014} \tanh{\left(\frac{263 \sqrt[3]{117} \cdot 2^{\frac{2}{3}}}{6000} \right)}}{3419}
1000*1014^(1/3)*tanh(263*2^(2/3)*117^(1/3)/6000)/3419
Respuesta numérica [src]
0.963102680320040
0.963102680320040
Combinatoria [src]
                     /     2/3 3 ____\
     3 ___   2/3     |263*6   *\/ 13 |
1000*\/ 6 *13   *tanh|---------------|
                     \      6000     /
--------------------------------------
                 3419                 
1000132363tanh(2631336236000)3419\frac{1000 \cdot 13^{\frac{2}{3}} \sqrt[3]{6} \tanh{\left(\frac{263 \sqrt[3]{13} \cdot 6^{\frac{2}{3}}}{6000} \right)}}{3419}
1000*6^(1/3)*13^(2/3)*tanh(263*6^(2/3)*13^(1/3)/6000)/3419
Denominador común [src]
                     /     2/3 3 ____\
     3 ___   2/3     |263*6   *\/ 13 |
1000*\/ 6 *13   *tanh|---------------|
                     \      6000     /
--------------------------------------
                 3419                 
1000132363tanh(2631336236000)3419\frac{1000 \cdot 13^{\frac{2}{3}} \sqrt[3]{6} \tanh{\left(\frac{263 \sqrt[3]{13} \cdot 6^{\frac{2}{3}}}{6000} \right)}}{3419}
1000*6^(1/3)*13^(2/3)*tanh(263*6^(2/3)*13^(1/3)/6000)/3419
Abrimos la expresión [src]
                  /     2/3 3 _____\
     3 ______     |263*2   *\/ 117 |
1000*\/ 1014 *tanh|----------------|
                  \      6000      /
------------------------------------
                3419                
100010143tanh(26311732236000)3419\frac{1000 \sqrt[3]{1014} \tanh{\left(\frac{263 \sqrt[3]{117} \cdot 2^{\frac{2}{3}}}{6000} \right)}}{3419}
1000*1014^(1/3)*tanh(263*2^(2/3)*117^(1/3)/6000)/3419
Unión de expresiones racionales [src]
                     /     2/3 3 ____\
     3 ___   2/3     |263*6   *\/ 13 |
1000*\/ 6 *13   *tanh|---------------|
                     \      6000     /
--------------------------------------
                 3419                 
1000132363tanh(2631336236000)3419\frac{1000 \cdot 13^{\frac{2}{3}} \sqrt[3]{6} \tanh{\left(\frac{263 \sqrt[3]{13} \cdot 6^{\frac{2}{3}}}{6000} \right)}}{3419}
1000*6^(1/3)*13^(2/3)*tanh(263*6^(2/3)*13^(1/3)/6000)/3419
Denominador racional [src]
                  /     2/3 3 _____\
     3 ______     |263*2   *\/ 117 |
1000*\/ 1014 *tanh|----------------|
                  \      6000      /
------------------------------------
                3419                
100010143tanh(26311732236000)3419\frac{1000 \sqrt[3]{1014} \tanh{\left(\frac{263 \sqrt[3]{117} \cdot 2^{\frac{2}{3}}}{6000} \right)}}{3419}
1000*1014^(1/3)*tanh(263*2^(2/3)*117^(1/3)/6000)/3419
Potencias [src]
                     /     2/3 3 ____\
     3 ___   2/3     |263*6   *\/ 13 |
1000*\/ 6 *13   *tanh|---------------|
                     \      6000     /
--------------------------------------
                 3419                 
1000132363tanh(2631336236000)3419\frac{1000 \cdot 13^{\frac{2}{3}} \sqrt[3]{6} \tanh{\left(\frac{263 \sqrt[3]{13} \cdot 6^{\frac{2}{3}}}{6000} \right)}}{3419}
1000*6^(1/3)*13^(2/3)*tanh(263*6^(2/3)*13^(1/3)/6000)/3419
Parte trigonométrica [src]
                  /     2/3 3 _____\
     3 ______     |263*2   *\/ 117 |
1000*\/ 1014 *tanh|----------------|
                  \      6000      /
------------------------------------
                3419                
100010143tanh(26311732236000)3419\frac{1000 \sqrt[3]{1014} \tanh{\left(\frac{263 \sqrt[3]{117} \cdot 2^{\frac{2}{3}}}{6000} \right)}}{3419}
                     /     2/3 3 ____\
     3 ___   2/3     |263*6   *\/ 13 |
1000*\/ 6 *13   *tanh|---------------|
                     \      6000     /
--------------------------------------
                 3419                 
1000132363tanh(2631336236000)3419\frac{1000 \cdot 13^{\frac{2}{3}} \sqrt[3]{6} \tanh{\left(\frac{263 \sqrt[3]{13} \cdot 6^{\frac{2}{3}}}{6000} \right)}}{3419}
1000*6^(1/3)*13^(2/3)*tanh(263*6^(2/3)*13^(1/3)/6000)/3419